Efficient piecewise non-uniform approximation logarithmic and antilogarithmic converters

Abstract

A wider range of applications are represented by logarithmic number system (LNS). For 3D graphics, large savings in power is achieved by using LNS to perform complex operations. Saving in power and size of logarithmic and antilogarithmic converters are achieved in this paper. Based on non-uniform sub-segments and piecewise straight line approximation, novel group of logarithmic and antilogarithmic converters are presented. The proposed converters attain good pattern of precision and power dissipation as compared to different latest techniques. Synthesis results for 90-nm CMOS technology are also presented. High precision with less non-uniform sub-segments are obtained. The proposed converters reduce the power dissipation and area by more than 20%, and 23%, respectively, with up to 26% cutting in relative error.